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FDG RESULTS FOR NGC 3741

NGC 3741 is a gas-dominated spiral galaxy. It is an irregular galaxy in the constellation Ursa Major and was discovered by John Herschel in 1828. NFDG results for NGC 3741 are described in the figure below: the top panel shows the variable dimension D(R) (red-solid curve) computed with the main NFDG model, and the new mass-dimension function Dm(R) (blue-dashed curve), computed with the NFDG field equation. Both dimensions are very close to values in the range D=1.4-1.6, over most of the radial range. This is typical NFDG behavior for galactic structures dominated by an axially-symmetric gas component. Bottom panel: NFDG galactic rotation curves compared with SPARC data. There is an almost perfect agreement between the main NFDG D(R) curve (red-solid) and the experimental data. This shows that, if this galaxy behaves as a fractal structure whose dimension D follows the red-solid curve in the top panel, then the resulting NFDG circular velocity curve in the bottom panel (red-solid) will perfectly fit the experimental data, without any need of dark matter. The NFDG Dm(R) curve (blue-dashed) is less effective in fitting the experimental data, but is still a remarkably good fit.

A gas-dominated galaxy, such as NGC 3741, is characterized by a fractional dimension smaller than the D=2 value that we observed for a disk-dominated galaxy, such as NGC 6503. See my third, fifth, and seventh papers for a full discussion of this galaxy.

NFDG analysis of NGC 3741. Top panel: variable space dimension D(R) (red-solid curve) and mass-dimension Dm(R) (blue-dashed curve). Bottom panel: NFDG rotation curves (circular velocity vs. radial distance) compared to the original SPARC data. Also shown: MOND (RAR) fit and Newtonian predictions.